Departament de Matemàtiques i Informàtica

La Universitat de Barcelona és la universitat pública principal de Catalunya, amb el nombre més gran d’estudiants i l’oferta formativa més àmplia i completa. A més, és el principal centre de recerca universitari de l’Estat i un dels més importants d’Europa, tant per nombre de programes de recerca com per l’excel·lència assolida en aquest terreny.Estretament vinculada a la història de Barcelona i de Catalunya, la UB combina els valors de la tradició amb el fet de ser una institució innovadora i d’excel·lència en l’àmbit docent, i és una universitat urbana, oberta i cosmopolita com la mateixa ciutat de Barcelona.Us convidem a conèixer la Universitat de Barcelona!


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Recent Submissions

Congested Optimal Transport in the Heisenberg Group 

Circelli, Michele (Date of defense: 2024-07-03)

[eng] In this thesis we adapted the problem of continuous congested optimal transport to the Heisenberg group, equipped with a sub-Riemannian metric: we restricted the set of admissible paths to the horizontal curves. We ...

Carotid Artery Ultrasound Image-Based Cardiovascular Risk Prediction using Deep Learning 

Vila Muñoz, Maria del Mar (Date of defense: 2024-05-03)

[eng] Cardiovascular Diseases (CVDs), the leading cause of death in developed countries, often involve atherosclerosis, which is a chronic inflammatory thickening of the inner artery layer. Monitoring atherosclerotic plaque ...

Geometric realizations using regular subdivisions: Construction of many polytopes, sweep polytopes, s-permutahedra 

Philippe, Eva (Date of defense: 2024-06-07)

[eng] This thesis concerns three problems of geometric realizations of combinatorial structures via polytopes and polyhedral subdivisions. A polytope is the convex hull of a finite set of points in a Euclidean space Rd. ...

Gaze Estimation with Spatiotemporal and Multimodal Deep Learning 

Palmero Cantariño, Cristina (Date of defense: 2024-01-22)

[eng] lt is often said that the eyes are the window to the soul. The eyes and their behavior have sparked interest for centuries, and have been widely studied due to their link with multiple developmental, neurological, ...

Application of Radiomics-based Machine Learning models on complex cardíac diseases 

Izquierdo, Cristian (Date of defense: 2024-07-18)

[eng] This doctoral thesis investigates the combination of radiomics and machine learning (ML) within the field of cardiology, emphasizing early detection and prognosis of complex cardiovascular diseases (CVDs). Radiomics ...

Regularity theory for obstacle problems and boundary Harnack inequalities 

Torres Latorre, Clara (Date of defense: 2024-06-21)

[eng] This thesis is dedicated to the study of elliptic and parabolic Partial Differential Equations, both local and nonlocal. More specifically, this work concerns the regularity properties of some obstacle problems. Obstacle ...

Automatic Cardiac Segmentation of Complex Morphologies, Modalities and Tissues 

Martín Isla, Carlos (Date of defense: 2024-01-18)

[eng] Cardiovascular diseases (CVDs) continue to take a significant toll on global health, highlighting the need for more accurate and efficient diagnostic tools. This thesis, titled "Automatic Cardiac Segmentation of ...

Mastering the Triad of Data, Models and Tasks in Deep Learning for Image Understanding 

Nagarajan, Bhalaji (Date of defense: 2024-06-27)

[eng] Deep learning's rapid growth brings vast application potential across diverse domains. Achieving optimal performance hinges on a critical interplay between three key elements: powerful model architectures, vast amounts ...

Suitable logics: provability, temporal laws, and formalization 

Borges, Ana de Almeida Gabriel Vieira (Date of defense: 2024-01-12)

[eng] This thesis explores various aspects of logic, encompassing provability logic, logical analysis of law, and formalization of both mathematics and software. We are particularly interested in the aspect of suitability, ...

Advancing 3D Point Cloud Understanding in Real-World Applications 

Zoumpekas, Athanasios (Date of defense: 2024-06-03)

[eng] In recent years, rapid advancements in 3D sensing technologies, such as LiDAR, have revolutionized various fields, spanning robotics, augmented reality, earth vision, and industrial manufacturing. Point clouds, ...

Efficient and convergent natural gradient based optimization algorithms for machine learning 

Sánchez López, Borja (Date of defense: 2022-11-22)

[eng] Many times machine learning is casted as an optimization problem. This is the case when an objective function assesses the success of an agent in a certain task and hence, learning is accomplished by optimizing that ...

About the connectivity of Fatou components for some families of rational maps 

Paraschiv, Dan Alexandru (Date of defense: 2023-06-16)

[eng] Rational iteration is the study of the asymptotic behaviour of the sequences given by the iterates of a rational map on the Riemann sphere. According to Montel's theory on normal families, the phase space (also called ...

Higher regularity of free boundaries in obstacle problems 

Kukuljan, Teo (Date of defense: 2022-10-07)

In the thesis we consider higher regularity of the free boundaries in different variations of the obstacle problem, that is, when the Laplace operator b. is replaced with another elliptic or parabolic operator. In the ...

Aleatoric Uncertainty Modelling in Regression Problems using Deep Learning 

Brando Guillaumes, Axel (Date of defense: 2022-07-18)

Nowadays, we live in an intrinsically uncertain world from our perspective. We do not know what will happen in the future but, to infer it, we build the so-called models. These models are abstractions of the world we live ...

Chern degree functions and Prym semicanonical pencils 

Rojas, Andrés (Date of defense: 2021-11-26)

Abelian varieties are projective algebraic varieties endowed with a group structure. They constitute one of the most explored objects in Algebraic Geometry throughout the last decades. On the one hand, abelian varieties ...

Invariant manifolds and transport in a Sun-perturbed Earth-Moon system 

Nicolás Ávila, Begoña (Date of defense: 2022-04-22)

This dissertation is devoted to the analysis of the motion of small bodies, like asteroids, in the neighbourhood of the Earth-Moon system from a celestial mechanics approach. This is an extensive area of research where ...

Hitting probabilities for g-Gaussian processes 

Hinojosa Calleja, Adrián (Date of defense: 2022-04-07)

We develop criteria for hitting probabilities of Gaussian random fields with associated canonical metric given by a class of gauge functions. This yields upper and lower bounds in terms of general notions of Hausdorff ...

Weighted restricted weak-type extrapolation on classical Lorentz spaces 

Baena Miret, Sergi (Date of defense: 2022-03-25)

An important result in Harmonic Analysis is the extrapolation theorem of Rubio de Francia. In its original version says that if T is a sublinear operator that is bounded in Lp0 pvq, for some p0 ě 1 and every v P Ap , then ...

Lifestyle Understanding through the Analysis of Egocentric Photo-streams 

Talavera Martínez, Estefanía (Date of defense: 2020-02-14)

Describing people’s lives has become a hot topic in several disciplines. Lifelogging appeared in the 1960s as the process of recording and tracking personal activity data generated by the daily behaviour of a person. The ...

Value-aligned norm selection 

Serramia Amoros, Marc (Date of defense: 2021-09-29)

Norms have been widely enacted in both human and agent societies to regulate the actions that individuals can perform. However, although legislators may have ethics in mind when establishing norms, moral values are seldom ...

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